Pith Number

pith:HRR5LHYB

pith:2019:HRR5LHYBHZE6S4BV3W6W6VX6H5

not attested not anchored not stored refs pending

Mass-conserving solutions to coagulation-fragmentation equations with balanced growth

Philippe Lauren\c{c}ot (IMT)

arxiv:1901.08313 v1 · 2019-01-24 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRR5LHYBHZE6S4BV3W6W6VX6H5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:55:37.375854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c63d59f013e49e97035ddbd6f56fe3f7816221eaa28cbc0d9a2191da9327958

Aliases

arxiv: 1901.08313 · arxiv_version: 1901.08313v1 · doi: 10.48550/arxiv.1901.08313 · pith_short_12: HRR5LHYBHZE6 · pith_short_16: HRR5LHYBHZE6S4BV · pith_short_8: HRR5LHYB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HRR5LHYBHZE6S4BV3W6W6VX6H5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3c63d59f013e49e97035ddbd6f56fe3f7816221eaa28cbc0d9a2191da9327958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c9e2e95d31fb70d51204da8ccd7f504fbbbd82ee56baccc7397bf37190042e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-24T09:55:50Z",
    "title_canon_sha256": "195a169ffc6991aeed16eca7b4eec97850dbd92cc7b94708cdcca8829a50e21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08313",
    "kind": "arxiv",
    "version": 1
  }
}